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Finding the Fourth Proportional to 15,038.20, 22,514.10 and 9,206.20

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Solution

The fourth proportional to 15,038.20, 22,514.10 and 9,206.20 is: 13,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,038.20 : 22,514.10 = 9,206.20 : x
  2. Step 2: Convert to fraction form
    15,038.20/22,514.10 = 9,206.20/x
  3. Step 3: Cross multiply
    15,038.20x = 22,514.10 × 9,206.20
  4. Step 4: Simplify right side
    15,038.20x = 207,269,307.42
  5. Step 5: Solve for x
    x = 207,269,307.42/15,038.20
  6. Step 6: Final answer
    x = 13,782.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.